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Combinatorics

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Rolling Five Standard Dice

COMBIN-DQYLNJ

Roll five standard 6-sided dice simultaneously.

What is the probability that all five dice show the same number of pips?

A

$\cfrac{1}{6^5}$

B

$\cfrac{1}{6^4}$

C

$\cfrac{1}{5^6}$

D

$\cfrac{1}{5^5}$

E

none of the above